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Advanced analytical dynamics : theory and applications / Vincent De Sapio, HRL Laboratories LLC.

By: Material type: TextTextPublisher: Cambridge : Cambridge University Press, 2017Description: 1 online resource (xii, 282 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781316832301 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 620.1/04 23
LOC classification:
  • QA845 .D42 2017
Online resources:
Contents:
Mathematical preliminaries -- Kinematics of discrete systems -- Conservation principles -- Zeroth order variational principles -- First order variational principles -- Second order variational principles -- Dynamics in task space -- Applications to biomechanical systems -- Software for analytical dynamics.
Summary: Providing a unique bridge between the foundations of analytical mechanics and application to multi-body dynamical systems, this textbook is particularly well suited for graduate students seeking an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task space approaches for representing the resulting dynamics that can be exploited for real-world problems in areas such as biomechanics and robotics. Established principles in mechanics are presented in a thorough and modern way. The chapters build up from general mathematical foundations, an extensive treatment of kinematics, and then to a rigorous treatment of conservation and variational principles in mechanics. Parallels are drawn between the different approaches, providing the reader with insights that unify his or her understanding of analytical dynamics. Additionally, a unique treatment is presented on task space dynamical formulations that map traditional configuration space representations into more intuitive geometric spaces.
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Title from publisher's bibliographic system (viewed on 28 Feb 2017).

Mathematical preliminaries -- Kinematics of discrete systems -- Conservation principles -- Zeroth order variational principles -- First order variational principles -- Second order variational principles -- Dynamics in task space -- Applications to biomechanical systems -- Software for analytical dynamics.

Providing a unique bridge between the foundations of analytical mechanics and application to multi-body dynamical systems, this textbook is particularly well suited for graduate students seeking an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task space approaches for representing the resulting dynamics that can be exploited for real-world problems in areas such as biomechanics and robotics. Established principles in mechanics are presented in a thorough and modern way. The chapters build up from general mathematical foundations, an extensive treatment of kinematics, and then to a rigorous treatment of conservation and variational principles in mechanics. Parallels are drawn between the different approaches, providing the reader with insights that unify his or her understanding of analytical dynamics. Additionally, a unique treatment is presented on task space dynamical formulations that map traditional configuration space representations into more intuitive geometric spaces.

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